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Finding the Fourth Proportional to 104,164.68, 143,747.28 and 56,417.88

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Solution

The fourth proportional to 104,164.68, 143,747.28 and 56,417.88 is: 77,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,164.68 : 143,747.28 = 56,417.88 : x
  2. Step 2: Convert to fraction form
    104,164.68/143,747.28 = 56,417.88/x
  3. Step 3: Cross multiply
    104,164.68x = 143,747.28 × 56,417.88
  4. Step 4: Simplify right side
    104,164.68x = 8,109,916,793.37
  5. Step 5: Solve for x
    x = 8,109,916,793.37/104,164.68
  6. Step 6: Final answer
    x = 77,856.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.